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Finding the Third Proportional to 387.80 and 843.84

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Solution

The third proportional to 387.80 and 843.84 is: 1,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.80 : 843.84 = 843.84 : x
  2. Step 2: Convert to fraction form
    387.80/843.84 = 843.84/x
  3. Step 3: Cross multiply
    387.80x = 843.84 × 843.84
  4. Step 4: Simplify right side
    387.80x = 712,072.27
  5. Step 5: Solve for x
    x = 712,072.27/387.80
  6. Step 6: Final answer
    x = 1,836.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.